{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 2, demo 2\n",
    "\n",
    "Bayesian Data Analysis, 3rd ed\n",
    "\n",
    "Probability of a girl birth given placenta previa (BDA3 p. 37).\n",
    "Illustrate the effect of a prior. Comparison of posterior distributions with different parameter values for Beta prior distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# import necessary packages\n",
    "\n",
    "# plotting\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# fast array routines for numerical calculation\n",
    "import numpy as np\n",
    "\n",
    "# PreliZ is a package for exploring and eliciting probability distributions\n",
    "import preliz as pz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# set preliz style\n",
    "pz.style.use(\"preliz-doc\")\n",
    "# Change default credible interval kind and probability\n",
    "# By default PreliZ uses highest density interval (HDI) and 0.94 probability\n",
    "pz.rcParams[\"stats.ci_kind\"] = \"eti\"\n",
    "pz.rcParams[\"stats.ci_prob\"] = 0.95"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(3,1, sharex=True, figsize=(12, 9))\n",
    "\n",
    "ap = 0.485 * (2*10**np.arange(3))\n",
    "bp = (1-0.485) * (2*10**np.arange(3))\n",
    "titles = [rf'$\\alpha+\\beta = {2*10**i}$' for i in range(3)]\n",
    "\n",
    "for api, bpi, title, ax in zip(ap, bp, titles, axes.ravel()):\n",
    "    pz.Beta(438, 544).plot_pdf(legend=\"posterior with uniform prior\", baseline=False, lw=4, color='black', ax=ax)\n",
    "    pz.Beta(api, bpi).plot_pdf(legend=\"informative prior\", baseline=False, lw=2, ls=\":\", ax=ax)\n",
    "    pz.Beta(437 + api, 543 + bpi).plot_pdf(legend=\"posterior with informative prior\", baseline=False, ls=\"--\", ax=ax)\n",
    "    ax.axvline(0.485, color='gray', label=\"known θ=0.485 in general population\")\n",
    "    ax.set_title(title)\n",
    "\n",
    "\n",
    "ax.set_xlim(0.375, 0.525)\n",
    "axes[0].get_legend().remove()\n",
    "axes[2].get_legend().remove()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Authors:\n",
    "- Aki Vehtari <aki.vehtari@aalto.fi>\n",
    "- Tuomas Sivula <tuomas.sivula@aalto.fi>\n",
    "- Osvaldo A. Martin <osvaldo.martin@aalto.fi>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "bda_py_demos",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
